The Wikibooks community is developing a policy on the use of generative AI. Please review the draft policy and provide feedback on its talk page.
罗尔定理指出，如果一个实值函数 f {\displaystyle f} 在闭区间 [ a , b ] {\displaystyle [a,b]} 上连续，在开区间 ( a , b ) {\displaystyle (a,b)} 上可导，且 f ( a ) = f ( b ) {\displaystyle f(a)=f(b)} ，那么至少存在一个数 c {\displaystyle c} 使得 D x f ( c ) = 0 {\displaystyle D_{x}f(c)=0} 。这意味着如果一个函数满足上述三个条件，那么该函数图像上至少存在一点，该点的切线斜率为 0 {\displaystyle 0} ，或者该切线平行于 x {\displaystyle x} 轴。
The Wikibooks community is developing a policy on the use of generative AI. Please review the draft policy and provide feedback on its talk page.
![{\displaystyle [a,b]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9c4b788fc5c637e26ee98b45f89a5c08c85f7935)
